EmmaandDaisy
EmmaandDaisy EmmaandDaisy
  • 23-08-2019
  • Mathematics
contestada

In the diagram at the
right, m LMN = 116,
M JKM = 122, and
M JNM = 103. What is
m NKM?

In the diagram at the right m LMN 116 M JKM 122 and M JNM 103 What is m NKM class=

Respuesta :

Cricetus
Cricetus Cricetus
  • 02-09-2019

Answer:

77 Degrees

Step-by-step explanation:

Let ∠LMK=x

Hence ∠NMK=x (Given)

Also given that ∠ NML=116

And

∠ NML=∠ LMK+∠ NMK

Hence

x+x=116

2x=116

x=58

Let ∠ MNK=y

Given ∠JNK=∠ NMK=x

Also ∠ JNM=103

x+y=103

58+y=103

y=45

Now we have ∠ JKM=122

y+∠ NKM=122

Hence

45+∠ NKM=122

∠ NKM=122-45

∠ NKM=77

Hence ∠ NKM=77

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